When History Becomes Geometry: On the Emergence of Processual Memory

This article develops a generated-space interpretation of the Four Chamber Model. Semantic space is understood not as a pre-existing container, but as an order produced by relational structure. Chamber-specific polyhedral geometries are interpreted as generative principles of lattice structures whose recurrence across scales yields fractally organized semantic spaces. Across successive cycles, geometrical type can recur without restoring an identical semantic state. This provides a basis for processual memory: higher-order symmetry may be re-established while differentiations generated in preceding traversals remain preserved within subordinate levels of the fractal organization. Processual memory can support the stabilization of semantic attractors, which in turn shape semantic curvature and bias subsequent trajectories. The model thus links generated space, recurrence, memory, attraction, and curvature within a single developmental architecture.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-21
DOI
https://doi.org/10.5281/zenodo.22050302
Primary Topic
Cognitive Computing and Networks
Type
preprint
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preprint

When History Becomes Geometry: On the Emergence of Processual Memory

Hans-Joachim Rudolph
Zenodo (CERN European Organization for Nuclear Research)
Cognitive Computing and Networks
preprint

When History Becomes Geometry: On the Emergence of Processual Memory

Hans-Joachim Rudolph
preprint en

Abstract

This article develops a generated-space interpretation of the Four Chamber Model. Semantic space is understood not as a pre-existing container, but as an order produced by relational structure. Chamber-specific polyhedral geometries are interpreted as generative principles of lattice structures whose recurrence across scales yields fractally organized semantic spaces. Across successive cycles, geometrical type can recur without restoring an identical semantic state. This provides a basis for processual memory: higher-order symmetry may be re-established while differentiations generated in preceding traversals remain preserved within subordinate levels of the fractal organization. Processual memory can support the stabilization of semantic attractors, which in turn shape semantic curvature and bias subsequent trajectories. The model thus links generated space, recurrence, memory, attraction, and curvature within a single developmental architecture.

Zenodo (CERN European Organization for Nuclear Research)
MicroVision (United States) (US)
Sustainable cities and communities
Cognitive Computing and Networks
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